(i)[5]
Express $f(x)$ using partial fractions.
(ii)[5]
Hence give the expansion of $f(x)$ in ascending powers of $x$, up to and including the $x^2$ term.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Let the function be $f(x) = \dfrac{5x^2 - 7x + 4}{(3x + 2)(x^2 + 5)}$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or show the form $\dfrac{A}{3x+2}+\dfrac{Bx+C}{x^2+5}$” …
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